If the density of a gas at 27,^{circ}C and 2, | vedclass

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(D) The density of a gas is given by the formula $d = \frac{PM_w}{RT}$.For the same gas,the ratio of densities at two different conditions is given by

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$3$

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(D) The density of a gas is given by the formula $d = \frac{PM_w}{RT}$.For the same gas,the ratio of densities at two different conditions is given by $\frac{d_2}{d_1} = \frac{P_2}{P_1} 	imes \frac{T_1}{T_2}$.Given: $d_1 = 5.46\, g/L$,$P_1 = 2\, atm$,$T_1 = 27 + 273 = 300\, K$.At $STP$: $P_2 = 1\, atm$,$T_2 = 273\, K$.Substituting the values: $\frac{d_2}{5.46} = \frac{1}{2} 	imes \frac{300}{273}$.$d_2 = 5.46 	imes 0.5 	imes 1.0989 \approx 3\, g/L$.

If the density of a gas at $27\,^{\circ}C$ and $2\, atm$ is $5.46\, g/L$,then calculate the density of the gas at $STP$. (in $, g/L$)

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